LCM of 522, 884, 536, 957, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 884, 536, 957, 268 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 522, 884, 536, 957, 268. So, keep reading to learn more.
Given numbers are 522,884,536,957,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,884,536,957,268 is 340087176.
Find LCM of 522,884,536,957,268 with Prime Factorization
| 2 | 522, 884, 536, 957, 268 |
| 2 | 261, 442, 268, 957, 134 |
| 3 | 261, 221, 67, 957, 134 |
| 29 | 87, 221, 67, 319, 134 |
| 67 | 3, 221, 67, 11, 134 |
| 3, 221, 1, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 67 x 3 x 221 x 1 x 11 x 2 = 340087176
Therefore, the lowest common multiple of 522,884,536,957,268 is 340087176.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
522 x 884 x 536 x 957 x 268 = 63435780764928
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
536 : 1, 2, 4, 8, 67, 134, 268, 536
957 : 1, 3, 11, 29, 33, 87, 319, 957
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,884,536,957,268, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
884:2x 2x 13x 17
536:2x 2x 2x 67
957:3x 11x 29
268:2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 29x 67 = 186528
Therefore, the value for common factors is 186528.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 63435780764928/(1x186528)
LCM = 63435780764928/186528
LCM = 340087176
Thus, we can understand that the LCM of 522,884,536,957,268 is 340087176.
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FAQs on LCM of 522, 884, 536, 957, 268
1. What is the LCM of 522, 884, 536, 957, 268?
Answer: LCM of 522, 884, 536, 957, 268 is 340087176.
2. How to calculate the LCM of 522, 884, 536, 957, 268?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 522, 884, 536, 957, 268.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.